The Blues won via goals from Charly Alcaraz and Beto, with Tyler Dibling making his debut as a second-half substitute.
Afterwards, Moyes said: "I thought we played well in the first half as well. I have probably had 100 of these games over my career and probably 99 of them have been rubbish. I thought tonight we actually played well enough.
“We weren't clinical enough but our football was fine. For the best part of 40 minutes, we dominated. They probably had three or four minutes before half time. I had lots of things that I quite liked. There were lots of things we could have done much better.
"But, ultimately, we had to navigate a side who had just won four on the bounce and have started the league quite well. So the players did OK.”
Harrison Armstrong laid on two assists and Moyes also stated: "I thought Harrison played well. I thought Jimmy Garner played very well as well.
"But Harrison, for his age, did really well tonight and played well. There's a couple of options we've got for Harrison, so we'll decide over the next few days what we're going to do.”